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Finding the Third Proportional to 210,896 and 497,828

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Solution

The third proportional to 210,896 and 497,828 is: 1,175,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,896 : 497,828 = 497,828 : x
  2. Step 2: Convert to fraction form
    210,896/497,828 = 497,828/x
  3. Step 3: Cross multiply
    210,896x = 497,828 × 497,828
  4. Step 4: Simplify right side
    210,896x = 247,832,717,584
  5. Step 5: Solve for x
    x = 247,832,717,584/210,896
  6. Step 6: Final answer
    x = 1,175,141.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.